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सिद्ध कीजिए कि उस चतुर्भुज का क्षेत्रफल 41/2 वर्ग इकाई है जिसके शीर्ष (1, 1), (3, 4), (5, -2) व (4, -7) हैं।

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माना ABCD एक चतुर्भुज है जिसके शीर्षों के निर्देशांक

A = (1, 1), B = (3, 4), C = (5, -2) व D = (4, -7) हैं।

चतुर्भुज ABCD का क्षेत्रफल = 1/2[(4 – 6 – 35 + 4) – (3 + 20 – 8 – 7)]

= 1/2 [(8 – 4) – (23 – 15)]

= 1/2[-33 – 8] = -41/2

(-) चिहन छोड़ने पर = 41 वर्ग इकाई

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